Atkin-Lehner |
2+ 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52976d |
Isogeny class |
Conductor |
52976 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-52976 = -1 · 24 · 7 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 1 1 7+ 11- 6 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,0,11] |
[a1,a2,a3,a4,a6] |
j |
-256/3311 |
j-invariant |
L |
2.8369546257779 |
L(r)(E,1)/r! |
Ω |
2.8369546265591 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26488d1 |
Quadratic twists by: -4 |